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What is the Least Common Multiple of 68358 and 68363?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 68358 and 68363 is 4673157954.

LCM(68358,68363) = 4673157954

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Least Common Multiple of 68358 and 68363 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68358 and 68363, than apply into the LCM equation.

GCF(68358,68363) = 1
LCM(68358,68363) = ( 68358 × 68363) / 1
LCM(68358,68363) = 4673157954 / 1
LCM(68358,68363) = 4673157954

Least Common Multiple (LCM) of 68358 and 68363 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68358 and 68363. First we will calculate the prime factors of 68358 and 68363.

Prime Factorization of 68358

Prime factors of 68358 are 2, 3, 11393. Prime factorization of 68358 in exponential form is:

68358 = 21 × 31 × 113931

Prime Factorization of 68363

Prime factors of 68363 are 137, 499. Prime factorization of 68363 in exponential form is:

68363 = 1371 × 4991

Now multiplying the highest exponent prime factors to calculate the LCM of 68358 and 68363.

LCM(68358,68363) = 21 × 31 × 113931 × 1371 × 4991
LCM(68358,68363) = 4673157954